Though the image quality degradation caused by atmosphere turbulent noise can be overcomed and the diffraction-limited resolution image reconstruction of the telescope can be achieved with the method of speckle masking, there are many kinds of noise in varying degrees in a real speckle detector, which introduce bais terms into the average power spectrum and bispectrum of speckle iamges and distort gravely the recovery of module and phase. The noise problem in image reconstruction observation with the method of speckle masking was discussed and a positive restriction method used to correct the noise bais terms in bispectrum, then a high resolution image reconstruction observation of objects: binary ADS16800 and triple star Hld171 (ADS16648) was reported.